In order for you to play The Cave on Linux with minimal graphics settings, your computer must meet the following requirements
Operating System:
Ubuntu 12.04 LTS, fully updated
Processor (CPU):
1.8 GHz dual core CPU
Memory (RAM):
1 GB RAM
Graphics Card:
256 MB GeForce 8800, Radeon HD 2000, or Intel HD 4000 Graphics
Open GL:
2.1
Hard Drive:
1.5 GB HD space